abstract: In this talk I discuss transport processes asymptotically dominated by ballistic trajectories. These processes commonly exhibit strong anomalous diffusion characterised by a nonlinear behaviour of the spectrum of the moments of displacement. I will show the conditions under which the spectrum of moments defines a class of systems after an appropriate matching of the mean square displacement. Furthermore, the scaling form of the two-point correlation of the displacement characterising the class will be presented. Different members of this universality class will be discussed.